GCD of 906, 370, 409, 470 Calculator

Given Input numbers are 906, 370, 409, 470

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 906, 370, 409, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 370, 409, 470 is 1.

Therefore, GCD of numbers 906, 370, 409, 470 is 1

Given Input Data is 906, 370, 409, 470

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 409 is 409

Prime Factorization of 470 is 2 x 5 x 47

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(906, 370) = 167610

GCD(906, 370) = ( 906 x 370 ) / 167610

GCD(906, 370) = 335220 / 167610

GCD(906, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 906, 370, 409, 470 is 1

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• GCD of 312, 725, 421, 795
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1. What is the GCD of 906, 370, 409, 470?

GCD of 906, 370, 409, 470 is 1

2. Where do I get the detailed procedure to find GCD of 906, 370, 409, 470?

You can find a detailed procedure to find GCD of 906, 370, 409, 470 on our page.

3. How to find GCD of 906, 370, 409, 470 on a calculator?

You can find the GCD of 906, 370, 409, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.